Critical points approaches to a nonlocal elliptic problem driven by \(p(x)\)-biharmonic operator. (English) Zbl 1484.35179
Authors’ abstract: Differential equations with variable exponent arise from the nonlinear elasticity theory and the theory of electrorheological fluids. We study the existence of at least three weak solutions for the nonlocal elliptic problems driven by \(p(x)\)-biharmonic operator. Our technical approach is based on variational methods. Some applications illustrate the obtained results. We also provide an example in order to illustrate our main abstract results. We extend and improve some recent results.
Reviewer: Stepan Agop Tersian (Rousse)
MSC:
| 35J40 | Boundary value problems for higher-order elliptic equations |
| 35J60 | Nonlinear elliptic equations |
| 35A01 | Existence problems for PDEs: global existence, local existence, non-existence |
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